Calculate the missing values.

\begin{tabular}{|c|c|c|}
\hline
metres [tex]$( m )$[/tex] & centimetres [tex]$( cm )$[/tex] & millimetres [tex]$( mm )$[/tex] \\
\hline
5.5 & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline
[tex]$\square$[/tex] & 550 & [tex]$\square$[/tex] \\
\hline
[tex]$\square$[/tex] & [tex]$\square$[/tex] & [tex]$\square$[/tex] \\
\hline
\end{tabular}



Answer :

Let's solve the problem step-by-step by converting the given units.

First, we'll deal with the first row: converting metres to centimetres and millimetres.

1. Conversion of 5.5 meters to centimeters:

We know that 1 meter is equal to 100 centimeters. Therefore, to convert 5.5 meters to centimeters:
[tex]\[ 5.5 \, \text{meters} \times 100 \, \text{centimeters/meter} = 550 \, \text{centimeters} \][/tex]

2. Conversion of 5.5 meters to millimetres:

We know that 1 meter is equal to 1000 millimeters. Therefore, to convert 5.5 meters to millimeters:
[tex]\[ 5.5 \, \text{meters} \times 1000 \, \text{millimeters/meter} = 5500 \, \text{millimeters} \][/tex]

Now, we have filled in the first row of the table:
[tex]\[ \begin{tabular}{|c|c|c|} \hline \text{metres} \, (m) & \text{centimetres} \, (cm) & \text{millimetres} \, (mm) \\ \hline 5.5 & 550 & 5500 \\ \hline \end{tabular} \][/tex]

Next, we'll work on the second row: converting 550 centimeters to metres and millimetres.

1. Conversion of 550 centimeters to meters:

We know that 1 meter is 100 centimeters. Therefore, to convert 550 centimeters to meters:
[tex]\[ 550 \, \text{centimeters} \div 100 \, \text{centimeters/meter} = 5.5 \, \text{meters} \][/tex]

2. Conversion of 550 centimeters to millimetres:

We know that 1 centimeter is equal to 10 millimeters. Therefore, to convert 550 centimeters to millimeters:
[tex]\[ 550 \, \text{centimeters} \times 10 \, \text{millimeters/centimeter} = 5500 \, \text{millimeters} \][/tex]

Now, we have filled in the second row of the table:
[tex]\[ \begin{tabular}{|c|c|c|} \hline \text{metres} \, (m) & \text{centimetres} \, (cm) & \text{millimetres} \, (mm) \\ \hline 5.5 & 550 & 5500 \\ \hline 5.5 & 550 & 5500 \\ \hline \end{tabular} \][/tex]

Therefore, the completed table looks like this:
[tex]\[ \begin{tabular}{|c|c|c|} \hline \text{metres} \, (m) & \text{centimetres} \, (cm) & \text{millimetres} \, (mm) \\ \hline 5.5 & 550 & 5500 \\ \hline 5.5 & 550 & 5500 \\ \hline \end{tabular} \][/tex]